Sunday Afternoon Maths L

 Posted on 2016-01-10 

Between quadratics

Source: Luciano Rila (@DrTrapezio)
\(p(x)\) is a quadratic polynomial with real coefficients. For all real numbers \(x\),
$$x^2-2x+2\leq p(x)\leq 2x^2-4x+3$$
\(p(11)=181\). Find \(p(16)\).

Show answer

If you enjoyed these puzzles, check out Advent calendar 2019,
puzzles about doubling, or a random puzzle.


Show me a random puzzle
 Most recent collections 

Advent calendar 2019

Sunday Afternoon Maths LXVII

Coloured weights
Not Roman numerals

Advent calendar 2018

Sunday Afternoon Maths LXVI

Cryptic crossnumber #2

List of all puzzles


circles cryptic crossnumbers squares chess balancing arrows books routes chalkdust crossnumber rectangles numbers probabilty hexagons bases differentiation odd numbers crosswords addition star numbers fractions prime numbers square numbers menace averages 3d shapes volume spheres doubling trigonometry elections coins square roots dates grids games scales planes the only crossnumber crossnumber people maths integration sums polygons remainders tiling sequences division shape irreducible numbers functions cards rugby gerrymandering dice 2d shapes unit fractions sum to infinity digital clocks integers multiplication regular shapes algebra sport geometry floors surds coordinates proportion products taxicab geometry factors perimeter perfect numbers money indices number pascal's triangle calculus lines dominos colouring symmetry dodecagons palindromes clocks percentages digits time range christmas parabolas wordplay mean cube numbers crossnumbers area angles folding tube maps triangle numbers complex numbers speed advent triangles factorials means cryptic clues graphs ellipses shapes probability quadratics multiples ave partitions chocolate median logic


Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2020